CAIE A-Level Mathematics AS 1.5.1 Trig Graphs Questions

Practise sequences and series methods within the AS mathematics syllabus.

Exam points

use vector notation and operations
solve geometric problems with vectors
interpret vector relationships

[Maximum number: 3]

Figure for Question CAIE A-Level Mathematics AS 1.5.1 Trig Graphs Questions question 1 — CAIE A-Level Mathematics AS

The diagram shows the curve $y=k \cos \left(x-\frac{1}{6} \pi\right)$ where k is a positive constant and x is measured in radians. The curve crosses the x-axis at point A and B is a minimum point.

Find the coordinates of A and B.

State $\left(\frac{5}{3} \pi, 0\right)$ for point A
Or exact equivalent.

Marking guidance:

Allow $x=\frac{5}{3} \pi$ or exact equivalent.

$x=\frac{19}{6} \pi$ for point B
Or exact equivalent.
May be implied in coordinate or vector form.

y=-k for point B
May be implied in coordinate or vector form.

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CAIE A-Level Mathematics AS 1.5.1 Trig Graphs Questions question 1